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Finding the Fourth Proportional to 418,856.12, 627,912.30 and 152,567

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Solution

The fourth proportional to 418,856.12, 627,912.30 and 152,567 is: 228,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,856.12 : 627,912.30 = 152,567 : x
  2. Step 2: Convert to fraction form
    418,856.12/627,912.30 = 152,567/x
  3. Step 3: Cross multiply
    418,856.12x = 627,912.30 × 152,567
  4. Step 4: Simplify right side
    418,856.12x = 95,798,695,874.10
  5. Step 5: Solve for x
    x = 95,798,695,874.10/418,856.12
  6. Step 6: Final answer
    x = 228,715.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.